77418 has 48 divisors (see below), whose sum is σ = 202176. Its totient is φ = 21120.

The previous prime is 77417. The next prime is 77419. The reversal of 77418 is 81477.

It is an interprime number because it is at equal distance from previous prime (77417) and next prime (77419).

Its product of digits (1568) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 77391 and 77400.

It is not an unprimeable number, because it can be changed into a prime (77417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3355 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2⁷⁷⁴¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088).

77418 is an abundant number, since it is smaller than the sum of its proper divisors (124758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77418 is a wasteful number, since it uses less digits than its factorization.

77418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 77418 is about 278.2409028162. The cubic root of 77418 is about 42.6200527163.

The spelling of 77418 in words is "seventy-seven thousand, four hundred eighteen".